42727295232 has 360 divisors, whose sum is σ = 135090842040. Its totient is φ = 13408174080.

The previous prime is 42727295213. The next prime is 42727295239. The reversal of 42727295232 is 23259272724.

It can be written as a sum of positive squares in 4 ways, for example, as 383533056 + 42343762176 = 19584^2 + 205776^2 .

It is not an unprimeable number, because it can be changed into a prime (42727295239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24654238 + ... + 24655970.

It is an arithmetic number, because the mean of its divisors is an integer number (375252339).

Almost surely, 2^42727295232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42727295232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67545421020).

42727295232 is an abundant number, since it is smaller than the sum of its proper divisors (92363546808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42727295232 is a wasteful number, since it uses less digits than its factorization.

42727295232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1808 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 42727295232 in words is "forty-two billion, seven hundred twenty-seven million, two hundred ninety-five thousand, two hundred thirty-two".